Upvote:1
The sense of the quoted statement is that you must hold a return ticket to a country other than Canada, Mexico or the Caribbean - UNLESS you are transiting to one of those countries, or you hold proof of residence in one of those countries, in which case a ticket to that country is acceptable.
Upvote:2
Transiting the U.S. is no different from entering the U.S. Or in other words, there is no separate concept of "transiting the U.S." -- you must enter the U.S. and then leave the U.S.
Since you have a VWP nationality, you should use that to enter the U.S. What other nationalities you may have are not relevant.